Shadowing, Entropy and Minimal Sets

DOI10.1007/978-3-319-96598-7_20zbMath1447.37002OpenAlexW2889433195MaRDI QIDQ3296566

Piotr Oprocha

Publication date: 8 July 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-96598-7_20

zbMATH Keywords

entropyinvariant measuremixingPoulsen simplexshadowingminimaltransitiveodometer

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Cites Work

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• Shadowing, entropy and minimal subsystems
• A note on the average shadowing property for expansive maps
• Ergodic theory on compact spaces
• Stability theorems and hyperbolicity in dynamical systems
• Shadowing in dynamical systems
• Topological entropy of the induced maps of the inverse limits with bonding maps
• Chain recurrence rates and topological entropy
• Shadowing and hyperbolicity
• Generic properties of invariant measures for Axiom A diffeomorphisms
• Properties of invariant measures in dynamical systems with the shadowing property
• Shadowing Property for Inverse Limit Spaces
• On Dynamical Systems With the Specification Property
• Periodic Points and Measures for Axiom a Diffeomorphisms

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